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Simplifying 3(w + 3) + -4(w + 5) = 0 Reorder the terms: 3(3 + w) + -4(w + 5) = 0 (3 * 3 + w * 3) + -4(w + 5) = 0 (9 + 3w) + -4(w + 5) = 0 Reorder the terms: 9 + 3w + -4(5 + w) = 0 9 + 3w + (5 * -4 + w * -4) = 0 9 + 3w + (-20 + -4w) = 0 Reorder the terms: 9 + -20 + 3w + -4w = 0 Combine like terms: 9 + -20 = -11 -11 + 3w + -4w = 0 Combine like terms: 3w + -4w = -1w -11 + -1w = 0 Solving -11 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1w = 0 + 11 -1w = 0 + 11 Combine like terms: 0 + 11 = 11 -1w = 11 Divide each side by '-1'. w = -11 Simplifying w = -11
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